As part of his journey, a person travels 120 km at 80 km/h, the next 100 km at 40 km/h, and comes back to the starting point at 75 km/h. The average speed of the person throughout the journey (approximately) is:

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 1)
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  1. 63.46 km/h
  2. 58.74 km/h
  3. 68.15 km/h
  4. 49.58 km/h

Answer (Detailed Solution Below)

Option 1 : 63.46 km/h
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Given:

A person travels 120 km at 80 km/h, the next 100 km at 40 km/h, and comes back to the starting point at 75 km/h

Formula used:

Average speed = total distance/total time

Calculation:

Average speed = total distance/total time

Total distance = 120 + 100 + 220

= 440 km

Total time = (120/80) + (100/40) + (220/75)

= (3/2 + 5/2 + 44/15)

= (45 + 75 + 88)/30

= 208/30

Average speed = 440/(208/30)

= (440 * 30) / 208

= 63.46 km/hr

∴ The average speed is 63.46 km/hr.

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